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Finding the Fourth Proportional to 421,017.16, 581,012.04 and 230,042.38

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Solution

The fourth proportional to 421,017.16, 581,012.04 and 230,042.38 is: 317,463.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,017.16 : 581,012.04 = 230,042.38 : x
  2. Step 2: Convert to fraction form
    421,017.16/581,012.04 = 230,042.38/x
  3. Step 3: Cross multiply
    421,017.16x = 581,012.04 × 230,042.38
  4. Step 4: Simplify right side
    421,017.16x = 133,657,392,490.26
  5. Step 5: Solve for x
    x = 133,657,392,490.26/421,017.16
  6. Step 6: Final answer
    x = 317,463.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.